Van der Waal's constant 'a' can be expressed as — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Using the critical constants derived from van der Waals equation: $P_c = a / 27b^2$, $V_c = 3b$, and $T_c = 8a / 27Rb$. We can substitute $b = V_c/3$ to check the options. (a) $\frac{9R(8a/27Rb)(3b)}{8} = a$. (b) $3(a/27b^2)(3b)^2 = 3(a/27b^2)(9b^2) = a$. (d) $\frac{27}{64} \frac{R^2(64a^2/27^2R^2b^2)}{a/27b^2} = a$. Expression (c) does not simplify to 'a'. Therefore, correct answer is A,B,D.